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DOI: 10.19101/IJACR.2016.622009
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Paper Title |
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Robustness of triple I algorithms based on Schweizer-Sklar operators in fuzzy reasoning |
Author Name |
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Minxia Luo and Yaping Wang |
Abstract |
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In this paper, the perturbation of fuzzy connectives and the robustness of fuzzy reasoning are investigated. This perturbation of Schweizer-Sklar parameterized t-norms and its residuated implication operators are given. We show that full implication triple I algorithms based on Schweizer-sklar operators are robust for normalized Minkowski distance. |
Keywords |
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Schweizer-Sklar operators, Triple I algorithms, Fuzzy reasoning, Robustness. |
Cite this article |
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Minxia Luo and Yaping Wang , " Robustness of triple I algorithms based on Schweizer-Sklar operators in fuzzy reasoning " ,
International Journal of Advanced Computer Research (IJACR), Volume-6, Issue-22, January-2016 ,pp.1-8.DOI: 10.19101/IJACR.2016.622009 |
References |
: |
[1]Cai KY. Robustness of fuzzy reasoning and δ-equalities of fuzzy sets. IEEE Transactions on Fuzzy Systems. 2001;9(5):738-50.
|
[Crossref] |
[Google Scholar] |
[2]Dai S, Pei D, Wang SM. Perturbation of fuzzy sets and fuzzy reasoning based on normalized Minkowski distances. Fuzzy Sets and Systems. 2012;189(1):63-73.
|
[Crossref] |
[Google Scholar] |
[3]Dai S, Pei D, Guo D. Robustness analysis of full implication inference method. International Journal of Approximate Reasoning. 2013;54(5):653-66.
|
[Crossref] |
[Google Scholar] |
[4]Hardy GH, Littlewood JE, Pólya G. Inequalities. Cambridge University Press;1952.
|
[Google Scholar] |
[5]He H,Wang H, Liu Y, Wang Y, Du Y. Principle of universal logics. Science Press, Beijing; 2001.
|
[Google Scholar] |
[6]Hung WL, Yang MS. Similarity measures of intuitionistic fuzzy sets based on Lp metric. International Journal of Approximate Reasoning. 2007;46(1):120-36.
|
[Crossref] |
[Google Scholar] |
[7]Klement EP, Mesiar R, Pap E. Triangular norms. Position paper II: general constructions and parameterized families. Fuzzy Sets and Systems. 2004;145(3):411-38.
|
[Crossref] |
[Google Scholar] |
[8]Luo M, Yao N. Triple I algorithms based on Schweizer–Sklar operators in fuzzy reasoning. International Journal of Approximate Reasoning. 2013;54(5):640-52.
|
[Crossref] |
[Google Scholar] |
[9]Li Y, Qin K, He X. Robustness of fuzzy connectives and fuzzy reasoning. Fuzzy Sets and Systems. 2013;225:93-105.
|
[Crossref] |
[Google Scholar] |
[10]Pei D. Unified full implication algorithms of fuzzy reasoning. Information Sciences. 2008;178(2):520-30.
|
[Crossref] |
[Google Scholar] |
[11]Pei D. Formalization of implication based fuzzy reasoning method. International Journal of Approximate Reasoning. 2012;53(5):837-46.
|
[Crossref] |
[Google Scholar] |
[12]Wang GJ. The full implication triple I method of fuzzy reasoning. Science in China (Series E).1999;29(1):43-53. (in Chinese).
|
[Google Scholar] |
[15]Wang GJ, Fu L. Unified forms of triple I method. Computers & Mathematics with Applications. 2005;49(5):923-32.
|
[Crossref] |
[Google Scholar] |
[16]Wang GJ. Non-classical mathematical logic and approximate reasoning. Science Press, Beijing;2008. (in Chinese).
|
[Google Scholar] |
[17]Xu WH, Xie ZK, Yang JY, Ye YP. Continuity and approximation properties of two classes of algorithms for fuzzy inference. Journal of Software. 2004;15(10):1485-92. (in Chinese).
|
[Google Scholar] |
[19]Zadeh LA. The concept of a linguistic variable and its application to approximate reasoning—I. Information Sciences. 1975;8(3):199-249.
|
[Crossref] |
[Google Scholar] |
[20]Zadeh LA. The concept of a linguistic variable and its application to approximate reasoning—II. Information Sciences. 1975;8(4):301-57.
|
[Crossref] |
[Google Scholar] |
[21]Zadeh LA. The concept of a linguistic variable and its application to approximate reasoning-III. Information Sciences. 1975;9(1):43-80.
|
[Crossref] |
[Google Scholar] |
[22]Zadeh LA. Toward a generalized theory of uncertainty (GTU)–an outline. Information Sciences. 2005;172(1):1-40.
|
[Crossref] |
[Google Scholar] |
|